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Finding the Fourth Proportional to 925.92, 1,389.06 and 463.68

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Solution

The fourth proportional to 925.92, 1,389.06 and 463.68 is: 695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.92 : 1,389.06 = 463.68 : x
  2. Step 2: Convert to fraction form
    925.92/1,389.06 = 463.68/x
  3. Step 3: Cross multiply
    925.92x = 1,389.06 × 463.68
  4. Step 4: Simplify right side
    925.92x = 644,079.34
  5. Step 5: Solve for x
    x = 644,079.34/925.92
  6. Step 6: Final answer
    x = 695.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.